Consider the following. f(x, y) = 7x – 5y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4, 5) = 3 f(4.1, 5.05) = 3.45 Az = 0.1 (b) Use the total differential dz to approximate Az. dz = 0.45
Consider the following. f(x, y) = 7x – 5y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4, 5) = 3 f(4.1, 5.05) = 3.45 Az = 0.1 (b) Use the total differential dz to approximate Az. dz = 0.45
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the following.
\[ f(x, y) = 7x - 5y \]
(a) Find \( f(4, 5) \) and \( f(4.1, 5.05) \) and calculate \( \Delta z \).
- \( f(4, 5) = 3 \) ✅
- \( f(4.1, 5.05) = 3.45 \) ✅
- \( \Delta z = 0.1 \) ❌
(b) Use the total differential \( dz \) to approximate \( \Delta z \).
- \( dz = 0.45 \) ✅](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F124169c6-8d32-433b-ba67-139925e22b98%2Fcac45556-e819-4ba6-a076-c8f0578e55e0%2Fibabght_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following.
\[ f(x, y) = 7x - 5y \]
(a) Find \( f(4, 5) \) and \( f(4.1, 5.05) \) and calculate \( \Delta z \).
- \( f(4, 5) = 3 \) ✅
- \( f(4.1, 5.05) = 3.45 \) ✅
- \( \Delta z = 0.1 \) ❌
(b) Use the total differential \( dz \) to approximate \( \Delta z \).
- \( dz = 0.45 \) ✅
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